Convert cubic meter to cubic inch

Learn how to convert 1 cubic meter to cubic inch step by step.

Calculation Breakdown

Set up the equation

1.0 (c u b i c m e t e r) = x (c u b i c i n c h)

Define the base values of the selected units in relation to the SI unit

(c u b i c m e t e r)

Left side: 1.0 (c u b i c m e t e r) = 1.0 (c u b i c m e t e r) = 1.0 (m^{3})

Right side: 1.0 (c u b i c i n c h) = 1.6387064 \times 10^{- 5} (c u b i c m e t e r) = 1.6387064 \times 10^{- 5} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (c u b i c m e t e r) = x (c u b i c i n c h)

Insert known values =>

1.0 \times 1.0 \times (c u b i c m e t e r) = x \times 1.6387064 \times 10^{- 5} \times (c u b i c m e t e r)

Or

1.0 \cdot 1.0 \cdot (m^{3}) = x \cdot 1.6387064 \times 10^{- 5} \cdot (m^{3})

Cancel SI units

1.0 \times 1.0 \cdot (m^{3}) = x \times 1.6387064 \times 10^{- 5} \times (m^{3})

Conversion Equation

1.0 = x \times 1.6387064 \times 10^{- 5}

Simplify

1.0 = x \times 1.6387064 \times 10^{- 5}

Switch sides

x \times 1.6387064 \times 10^{- 5} = 1.0

Isolate

x

Multiply both sides by

(\frac{1.0}{1.6387064 \times 10^{- 5}})

x \times 1.6387064 \times 10^{- 5} \times \frac{1.0}{1.6387064 \times 10^{- 5}} = 1.0 \times \frac{1.0}{1.6387064 \times 10^{- 5}}

Cancel

x \times 1.6387064 \times 10^{- 5} \times \frac{1.0}{1.6387064 \times 10^{- 5}} = 1.0 \times \frac{1.0}{1.6387064 \times 10^{- 5}}

Simplify

x = \frac{1.0}{1.6387064 \times 10^{- 5}}

Rewrite equation

\frac{1.0}{10^{- 5}} can be rewritten to 10^{5}

Rewrite

x = \frac{10^{5}}{1.6387064}

Solve

x

x \approx 61023.744095 \approx 6.1024 \times 10^{4}

Conversion Equation

1.0 (c u b i c m e t e r) \approx 6.1024 \times 10^{4} (c u b i c i n c h)

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